- #1
TIGERHULL
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Hi, I have this question for a problem sheet:
Use the unit operator to show that a Hermitian operator A can be written in terms of its orthonormal eigenstates ln> and real eigenvalues a as :
A=(sum of) ln>a<nl
and hence deduce by induction that A^k = (sum of) ln>a^k<nl
I have no idea where to begin and was wondering if someone could give me some pointers and help me work through it. Also, sorry about my notation
Thanks :)
Use the unit operator to show that a Hermitian operator A can be written in terms of its orthonormal eigenstates ln> and real eigenvalues a as :
A=(sum of) ln>a<nl
and hence deduce by induction that A^k = (sum of) ln>a^k<nl
I have no idea where to begin and was wondering if someone could give me some pointers and help me work through it. Also, sorry about my notation
Thanks :)